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Finding the Fourth Proportional to 6,822.56, 9,419.78 and 5,030.25

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Solution

The fourth proportional to 6,822.56, 9,419.78 and 5,030.25 is: 6,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.56 : 9,419.78 = 5,030.25 : x
  2. Step 2: Convert to fraction form
    6,822.56/9,419.78 = 5,030.25/x
  3. Step 3: Cross multiply
    6,822.56x = 9,419.78 × 5,030.25
  4. Step 4: Simplify right side
    6,822.56x = 47,383,860.92
  5. Step 5: Solve for x
    x = 47,383,860.92/6,822.56
  6. Step 6: Final answer
    x = 6,945.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.